965782401 has 16 divisors (see below), whose sum is σ = 1341457920. Its totient is φ = 617362560.

The previous prime is 965782381. The next prime is 965782403. The reversal of 965782401 is 104287569.

It is not a de Polignac number, because 965782401 - 2¹⁵ = 965749633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (965782403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37500 + ... + 57773.

It is an arithmetic number, because the mean of its divisors is an integer number (83841120).

Almost surely, 2^965782401 is an apocalyptic number.

It is an amenable number.

965782401 is a deficient number, since it is larger than the sum of its proper divisors (375675519).

965782401 is a wasteful number, since it uses less digits than its factorization.

965782401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95416.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 965782401 is about 31077.0397721533. The cubic root of 965782401 is about 988.4615089569.

The spelling of 965782401 in words is "nine hundred sixty-five million, seven hundred eighty-two thousand, four hundred one".